16
16

Sep 10, 2012
09/12

by
David Shea

######
16

######
0

######
0

8
8.0

Sep 20, 2012
09/12

by
David Shea

######
8

######
0

######
0

37
37

Jul 25, 2008
07/08

by
David Shea

######
37

######
0

######
0

A lecture by David Shea at the Centre for Ideas at the Victorian College of the Arts.

Topics: art, confidence, australia, america

180
180

Oct 14, 2014
10/14

by
David Shea

######
180

######
0

######
0

1,439
1.4K

Nov 2, 2006
11/06

by
David Shea

######
1,439

######
0

######
0

125
125

Oct 14, 2014
10/14

by
David Shea

######
125

######
0

######
0

211
211

Feb 11, 2015
02/15

by
David Shea

######
211

######
0

######
0

3,734
3.7K

Aug 27, 2013
08/13

by
David Shea

######
3,734

######
0

######
2

( 2 reviews )

Topic: Religion

14
14

Sep 18, 2013
09/13

by
David Shea Vela-Vick

######
14

######
0

######
0

Consider a transverse knot which is the binding of an open book for the ambient contact manifold. In this paper, we show that the transverse invariants defined by Lisca, Ozsvath, Stipsicz, and Szabo (LOSS) are nonvanishing for such transverse knots. This is true regardless of whether or not the ambient contact structure is tight. We also prove a vanishing theorem for LOSS's Legendrian and transverse invariants. As a corollary, we show that if (T,\pi) is an open book with connected binding, then...

Source: http://arxiv.org/abs/0806.1729v2

3,634
3.6K

Oct 30, 2006
10/06

by
David Shea; Anthony Troyer

######
3,634

######
0

######
0

14
14

Sep 18, 2014
09/14

by
Dennis Eckmeier; Stephen David Shea

######
14

######
0

######
0

Sensory responses are modulated throughout the nervous system by internal factors including attention, experience, and brain state. This is partly due to fluctuations in neuromodulatory input from regions such as the noradrenergic locus coeruleus (LC) in the brainstem. LC activity changes with arousal and modulates sensory processing, cognition and memory. The main olfactory bulb (MOB) is richly targeted by LC fibers and noradrenaline profoundly influences MOB circuitry and odor-guided...

Topic: Neuroscience

Source: http://biorxiv.org/content/early/2014/08/12/002550

18
18

Sep 19, 2013
09/13

by
John B. Etnyre; David Shea Vela-Vick

######
18

######
0

######
0

We show that if (B,\pi) is an open book decomposition of a contact 3-manifold (Y,\xi), then the complement of the binding B has no Giroux torsion. We also prove the sutured Heegaard-Floer c-bar invariant of the binding of an open book is non-zero.

Source: http://arxiv.org/abs/0909.3465v1

8
8.0

Sep 19, 2013
09/13

by
Clayton Shonkwiler; David Shea Vela-Vick

######
8

######
0

######
0

We provide the first example of a Legendrian knot with nonvanishing contact homology whose Thurston-Bennequin invariant is not maximal.

Source: http://arxiv.org/abs/0910.3914v1

12
12

Sep 23, 2013
09/13

by
Clayton Shonkwiler; David Shea Vela-Vick

######
12

######
0

######
0

We derive an integral formula for the linking number of two submanifolds of the n-sphere S^n, of the product S^n x R^m, and of other manifolds which appear as "nice" hypersurfaces in Euclidean space. The formulas are geometrically meaningful in that they are invariant under the action of the special orthogonal group on the ambient space.

Source: http://arxiv.org/abs/0801.4022v1

12
12

Sep 23, 2013
09/13

by
John A. Baldwin; David Shea Vela-Vick; Vera Vertesi

######
12

######
0

######
0

Using the grid diagram formulation of knot Floer homology, Ozsvath, Szabo and Thurston defined an invariant of transverse knots in the tight contact 3-sphere. Shortly afterwards, Lisca, Ozsvath, Stipsicz and Szabo defined an invariant of transverse knots in arbitrary contact 3-manifolds using open book decompositions. It has been conjectured that these invariants agree where they are both defined. We prove this fact by defining yet another invariant of transverse knots, showing that this third...

Source: http://arxiv.org/abs/1112.5970v1

10
10.0

Sep 20, 2013
09/13

by
Dennis DeTurck; Herman Gluck; Rafal Komendarczyk; Paul Melvin; Haggai Nuchi; Clayton Shonkwiler; David Shea Vela-Vick

######
10

######
0

######
0

We describe a new approach to triple linking invariants and integrals, aiming for a simpler, wider and more natural applicability to the search for higher order helicities of fluid flows and magnetic fields. To each three-component link in Euclidean 3-space, we associate a geometrically natural generalized Gauss map from the 3-torus to the 2-sphere, and show that the pairwise linking numbers and Milnor triple linking number that classify the link up to link homotopy correspond to the Pontryagin...

Source: http://arxiv.org/abs/1207.1793v1

20
20

Sep 22, 2013
09/13

by
Dennis DeTurck; Herman Gluck; Rafal Komendarczyk; Paul Melvin; Clayton Shonkwiler; David Shea Vela-Vick

######
20

######
0

######
0

Three-component links in the 3-dimensional sphere were classified up to link homotopy by John Milnor in his senior thesis, published in 1954. A complete set of invariants is given by the pairwise linking numbers p, q and r of the components, and by the residue class of one further integer mu, the "triple linking number" of the title, which is well-defined modulo the greatest common divisor of p, q and r. To each such link L we associate a geometrically natural characteristic map g_L...

Source: http://arxiv.org/abs/0901.1612v1

35
35

Sep 22, 2013
09/13

by
Dennis DeTurck; Herman Gluck; Rafal Komendarczyk; Paul Melvin; Clayton Shonkwiler; David Shea Vela-Vick

######
35

######
0

######
0

To each three-component link in the 3-sphere, we associate a geometrically natural characteristic map from the 3-torus to the 2-sphere, and show that the pairwise linking numbers and Milnor triple linking number that classify the link up to link homotopy correspond to the Pontryagin invariants that classify its characteristic map up to homotopy. This can be viewed as a natural extension of the familiar fact that the linking number of a two-component link in 3-space is the degree of its...

Source: http://arxiv.org/abs/1101.3374v1

29
29

Sep 18, 2014
09/14

by
Brittany N Cazakoff; Billy Y B Lau; Kerensa L Crump; Heike Demmer; Stephen David Shea

######
29

######
0

######
0

Olfactory representations are shaped by both brain state and respiration; however, the interaction and circuit substrates of these influences are poorly understood. Granule cells (GCs) in the main olfactory bulb (MOB) are presumed to sculpt activity that reaches the olfactory cortex via inhibition of mitral/tufted cells (MTs). GCs may potentially sparsen ensemble activity by facilitating lateral inhibition among MTs, and/or they may enforce temporally-precise activity locked to breathing. Yet,...

Topic: Neuroscience

Source: http://biorxiv.org/content/early/2014/02/06/002410